ztrans recognizes and specially handles a large class of expressions, and only resorts to using the definition to calculate the transformation if the given expression has an unknown form. If the Z transform of the given expression cannot be found in a closed form, then the left-hand side of the formal definition is returned, rather than the right-hand side.

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The functions referred to in the literature as Delta and Step may be simulated in this function as charfcn[0](...) and Heaviside(...), respectively.

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